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Finding the Fourth Proportional to 472,045.32, 707,437.40 and 172,244.07

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Solution

The fourth proportional to 472,045.32, 707,437.40 and 172,244.07 is: 258,136.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,045.32 : 707,437.40 = 172,244.07 : x
  2. Step 2: Convert to fraction form
    472,045.32/707,437.40 = 172,244.07/x
  3. Step 3: Cross multiply
    472,045.32x = 707,437.40 × 172,244.07
  4. Step 4: Simplify right side
    472,045.32x = 121,851,896,185.00
  5. Step 5: Solve for x
    x = 121,851,896,185.00/472,045.32
  6. Step 6: Final answer
    x = 258,136.01

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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.