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Finding the Fourth Proportional to 530,906, 732,650.32 and 292,442

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Solution

The fourth proportional to 530,906, 732,650.32 and 292,442 is: 403,569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,906 : 732,650.32 = 292,442 : x
  2. Step 2: Convert to fraction form
    530,906/732,650.32 = 292,442/x
  3. Step 3: Cross multiply
    530,906x = 732,650.32 × 292,442
  4. Step 4: Simplify right side
    530,906x = 214,257,724,881.44
  5. Step 5: Solve for x
    x = 214,257,724,881.44/530,906
  6. Step 6: Final answer
    x = 403,569.98

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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.