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Finding the Fourth Proportional to 840,480, 1,159,862.40 and 458,508.32

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Solution

The fourth proportional to 840,480, 1,159,862.40 and 458,508.32 is: 632,741.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,480 : 1,159,862.40 = 458,508.32 : x
  2. Step 2: Convert to fraction form
    840,480/1,159,862.40 = 458,508.32/x
  3. Step 3: Cross multiply
    840,480x = 1,159,862.40 × 458,508.32
  4. Step 4: Simplify right side
    840,480x = 531,806,560,455.17
  5. Step 5: Solve for x
    x = 531,806,560,455.17/840,480
  6. Step 6: Final answer
    x = 632,741.48

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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.