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Finding the Fourth Proportional to 315,807.49, 473,719.88 and 105,437.89

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Solution

The fourth proportional to 315,807.49, 473,719.88 and 105,437.89 is: 158,159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,807.49 : 473,719.88 = 105,437.89 : x
  2. Step 2: Convert to fraction form
    315,807.49/473,719.88 = 105,437.89/x
  3. Step 3: Cross multiply
    315,807.49x = 473,719.88 × 105,437.89
  4. Step 4: Simplify right side
    315,807.49x = 49,948,024,598.25
  5. Step 5: Solve for x
    x = 49,948,024,598.25/315,807.49
  6. Step 6: Final answer
    x = 158,159.72

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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.