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Finding the Fourth Proportional to 510,064.34, 704,078.28 and 438,155.78

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Solution

The fourth proportional to 510,064.34, 704,078.28 and 438,155.78 is: 604,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,064.34 : 704,078.28 = 438,155.78 : x
  2. Step 2: Convert to fraction form
    510,064.34/704,078.28 = 438,155.78/x
  3. Step 3: Cross multiply
    510,064.34x = 704,078.28 × 438,155.78
  4. Step 4: Simplify right side
    510,064.34x = 308,495,964,434.07
  5. Step 5: Solve for x
    x = 308,495,964,434.07/510,064.34
  6. Step 6: Final answer
    x = 604,817.75

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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.