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Finding the Fourth Proportional to 461,470.40, 692,140.80 and 145,959.20

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Solution

The fourth proportional to 461,470.40, 692,140.80 and 145,959.20 is: 218,918.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,470.40 : 692,140.80 = 145,959.20 : x
  2. Step 2: Convert to fraction form
    461,470.40/692,140.80 = 145,959.20/x
  3. Step 3: Cross multiply
    461,470.40x = 692,140.80 × 145,959.20
  4. Step 4: Simplify right side
    461,470.40x = 101,024,317,455.36
  5. Step 5: Solve for x
    x = 101,024,317,455.36/461,470.40
  6. Step 6: Final answer
    x = 218,918.30

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1.5x scale

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.