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Finding the Fourth Proportional to 461,915.12, 692,931 and 146,259.20

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Solution

The fourth proportional to 461,915.12, 692,931 and 146,259.20 is: 219,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,915.12 : 692,931 = 146,259.20 : x
  2. Step 2: Convert to fraction form
    461,915.12/692,931 = 146,259.20/x
  3. Step 3: Cross multiply
    461,915.12x = 692,931 × 146,259.20
  4. Step 4: Simplify right side
    461,915.12x = 101,347,533,715.20
  5. Step 5: Solve for x
    x = 101,347,533,715.20/461,915.12
  6. Step 6: Final answer
    x = 219,407.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.