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Finding the Fourth Proportional to 314,036.76, 470,984.40 and 89,392.23

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Solution

The fourth proportional to 314,036.76, 470,984.40 and 89,392.23 is: 134,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,036.76 : 470,984.40 = 89,392.23 : x
  2. Step 2: Convert to fraction form
    314,036.76/470,984.40 = 89,392.23/x
  3. Step 3: Cross multiply
    314,036.76x = 470,984.40 × 89,392.23
  4. Step 4: Simplify right side
    314,036.76x = 42,102,345,811.21
  5. Step 5: Solve for x
    x = 42,102,345,811.21/314,036.76
  6. Step 6: Final answer
    x = 134,068.21

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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.