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Finding the Fourth Proportional to 309,030.60, 463,502.70 and 98,689.80

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Solution

The fourth proportional to 309,030.60, 463,502.70 and 98,689.80 is: 148,020.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,030.60 : 463,502.70 = 98,689.80 : x
  2. Step 2: Convert to fraction form
    309,030.60/463,502.70 = 98,689.80/x
  3. Step 3: Cross multiply
    309,030.60x = 463,502.70 × 98,689.80
  4. Step 4: Simplify right side
    309,030.60x = 45,742,988,762.46
  5. Step 5: Solve for x
    x = 45,742,988,762.46/309,030.60
  6. Step 6: Final answer
    x = 148,020.90

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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.