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Finding the Fourth Proportional to 542,851.20, 812,721.60 and 480,643.20

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Solution

The fourth proportional to 542,851.20, 812,721.60 and 480,643.20 is: 719,587.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,851.20 : 812,721.60 = 480,643.20 : x
  2. Step 2: Convert to fraction form
    542,851.20/812,721.60 = 480,643.20/x
  3. Step 3: Cross multiply
    542,851.20x = 812,721.60 × 480,643.20
  4. Step 4: Simplify right side
    542,851.20x = 390,629,110,533.12
  5. Step 5: Solve for x
    x = 390,629,110,533.12/542,851.20
  6. Step 6: Final answer
    x = 719,587.82

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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.