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Finding the Fourth Proportional to 507,905.93, 700,918.10 and 278,484.16

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Solution

The fourth proportional to 507,905.93, 700,918.10 and 278,484.16 is: 384,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,905.93 : 700,918.10 = 278,484.16 : x
  2. Step 2: Convert to fraction form
    507,905.93/700,918.10 = 278,484.16/x
  3. Step 3: Cross multiply
    507,905.93x = 700,918.10 × 278,484.16
  4. Step 4: Simplify right side
    507,905.93x = 195,194,586,914.88
  5. Step 5: Solve for x
    x = 195,194,586,914.88/507,905.93
  6. Step 6: Final answer
    x = 384,312.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.