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Finding the Fourth Proportional to 972,702.60, 1,458,276.30 and 411,275.40

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Solution

The fourth proportional to 972,702.60, 1,458,276.30 and 411,275.40 is: 616,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,702.60 : 1,458,276.30 = 411,275.40 : x
  2. Step 2: Convert to fraction form
    972,702.60/1,458,276.30 = 411,275.40/x
  3. Step 3: Cross multiply
    972,702.60x = 1,458,276.30 × 411,275.40
  4. Step 4: Simplify right side
    972,702.60x = 599,753,168,593.02
  5. Step 5: Solve for x
    x = 599,753,168,593.02/972,702.60
  6. Step 6: Final answer
    x = 616,584.32

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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.