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Finding the Fourth Proportional to 289,803.60, 434,549.88 and 90,038.16

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Solution

The fourth proportional to 289,803.60, 434,549.88 and 90,038.16 is: 135,008.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,803.60 : 434,549.88 = 90,038.16 : x
  2. Step 2: Convert to fraction form
    289,803.60/434,549.88 = 90,038.16/x
  3. Step 3: Cross multiply
    289,803.60x = 434,549.88 × 90,038.16
  4. Step 4: Simplify right side
    289,803.60x = 39,126,071,623.42
  5. Step 5: Solve for x
    x = 39,126,071,623.42/289,803.60
  6. Step 6: Final answer
    x = 135,008.92

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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.