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Finding the Fourth Proportional to 510,070.16, 703,894.80 and 283,715.68

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Solution

The fourth proportional to 510,070.16, 703,894.80 and 283,715.68 is: 391,526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,070.16 : 703,894.80 = 283,715.68 : x
  2. Step 2: Convert to fraction form
    510,070.16/703,894.80 = 283,715.68/x
  3. Step 3: Cross multiply
    510,070.16x = 703,894.80 × 283,715.68
  4. Step 4: Simplify right side
    510,070.16x = 199,705,991,830.46
  5. Step 5: Solve for x
    x = 199,705,991,830.46/510,070.16
  6. Step 6: Final answer
    x = 391,526.51

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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.