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Finding the Fourth Proportional to 510,678.48, 703,214.64 and 499,349.28

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Solution

The fourth proportional to 510,678.48, 703,214.64 and 499,349.28 is: 687,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,678.48 : 703,214.64 = 499,349.28 : x
  2. Step 2: Convert to fraction form
    510,678.48/703,214.64 = 499,349.28/x
  3. Step 3: Cross multiply
    510,678.48x = 703,214.64 × 499,349.28
  4. Step 4: Simplify right side
    510,678.48x = 351,149,724,169.46
  5. Step 5: Solve for x
    x = 351,149,724,169.46/510,678.48
  6. Step 6: Final answer
    x = 687,614.10

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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.