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Finding the Fourth Proportional to 978,200.10, 1,467,300.15 and 742,004.10

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Solution

The fourth proportional to 978,200.10, 1,467,300.15 and 742,004.10 is: 1,113,006.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,200.10 : 1,467,300.15 = 742,004.10 : x
  2. Step 2: Convert to fraction form
    978,200.10/1,467,300.15 = 742,004.10/x
  3. Step 3: Cross multiply
    978,200.10x = 1,467,300.15 × 742,004.10
  4. Step 4: Simplify right side
    978,200.10x = 1,088,742,727,230.61
  5. Step 5: Solve for x
    x = 1,088,742,727,230.61/978,200.10
  6. Step 6: Final answer
    x = 1,113,006.15

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.