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Finding the Fourth Proportional to 347,783.50, 521,719.80 and 98,465.50

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Solution

The fourth proportional to 347,783.50, 521,719.80 and 98,465.50 is: 147,710.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,783.50 : 521,719.80 = 98,465.50 : x
  2. Step 2: Convert to fraction form
    347,783.50/521,719.80 = 98,465.50/x
  3. Step 3: Cross multiply
    347,783.50x = 521,719.80 × 98,465.50
  4. Step 4: Simplify right side
    347,783.50x = 51,371,400,966.90
  5. Step 5: Solve for x
    x = 51,371,400,966.90/347,783.50
  6. Step 6: Final answer
    x = 147,710.86

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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.