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Finding the Fourth Proportional to 570,278.61, 787,024.35 and 315,646.20

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Solution

The fourth proportional to 570,278.61, 787,024.35 and 315,646.20 is: 435,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,278.61 : 787,024.35 = 315,646.20 : x
  2. Step 2: Convert to fraction form
    570,278.61/787,024.35 = 315,646.20/x
  3. Step 3: Cross multiply
    570,278.61x = 787,024.35 × 315,646.20
  4. Step 4: Simplify right side
    570,278.61x = 248,421,245,384.97
  5. Step 5: Solve for x
    x = 248,421,245,384.97/570,278.61
  6. Step 6: Final answer
    x = 435,613.82

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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.