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Finding the Fourth Proportional to 487,312.16, 672,118.44 and 419,442.80

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Solution

The fourth proportional to 487,312.16, 672,118.44 and 419,442.80 is: 578,510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,312.16 : 672,118.44 = 419,442.80 : x
  2. Step 2: Convert to fraction form
    487,312.16/672,118.44 = 419,442.80/x
  3. Step 3: Cross multiply
    487,312.16x = 672,118.44 × 419,442.80
  4. Step 4: Simplify right side
    487,312.16x = 281,915,240,405.23
  5. Step 5: Solve for x
    x = 281,915,240,405.23/487,312.16
  6. Step 6: Final answer
    x = 578,510.58

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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.