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Finding the Fourth Proportional to 702,681, 1,054,019.52 and 542,989.32

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Solution

The fourth proportional to 702,681, 1,054,019.52 and 542,989.32 is: 814,482.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,681 : 1,054,019.52 = 542,989.32 : x
  2. Step 2: Convert to fraction form
    702,681/1,054,019.52 = 542,989.32/x
  3. Step 3: Cross multiply
    702,681x = 1,054,019.52 × 542,989.32
  4. Step 4: Simplify right side
    702,681x = 572,321,342,431.53
  5. Step 5: Solve for x
    x = 572,321,342,431.53/702,681
  6. Step 6: Final answer
    x = 814,482.45

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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.