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Finding the Fourth Proportional to 647,508.74, 893,549.88 and 357,147.12

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Solution

The fourth proportional to 647,508.74, 893,549.88 and 357,147.12 is: 492,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,508.74 : 893,549.88 = 357,147.12 : x
  2. Step 2: Convert to fraction form
    647,508.74/893,549.88 = 357,147.12/x
  3. Step 3: Cross multiply
    647,508.74x = 893,549.88 × 357,147.12
  4. Step 4: Simplify right side
    647,508.74x = 319,128,769,569.16
  5. Step 5: Solve for x
    x = 319,128,769,569.16/647,508.74
  6. Step 6: Final answer
    x = 492,856.32

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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.