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Finding the Fourth Proportional to 867,831.40, 1,301,747.10 and 494,583.40

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Solution

The fourth proportional to 867,831.40, 1,301,747.10 and 494,583.40 is: 741,875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,831.40 : 1,301,747.10 = 494,583.40 : x
  2. Step 2: Convert to fraction form
    867,831.40/1,301,747.10 = 494,583.40/x
  3. Step 3: Cross multiply
    867,831.40x = 1,301,747.10 × 494,583.40
  4. Step 4: Simplify right side
    867,831.40x = 643,822,506,658.14
  5. Step 5: Solve for x
    x = 643,822,506,658.14/867,831.40
  6. Step 6: Final answer
    x = 741,875.10

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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.