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Finding the Fourth Proportional to 506,441.16, 698,876.84 and 280,081.80

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Solution

The fourth proportional to 506,441.16, 698,876.84 and 280,081.80 is: 386,506.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,441.16 : 698,876.84 = 280,081.80 : x
  2. Step 2: Convert to fraction form
    506,441.16/698,876.84 = 280,081.80/x
  3. Step 3: Cross multiply
    506,441.16x = 698,876.84 × 280,081.80
  4. Step 4: Simplify right side
    506,441.16x = 195,742,683,325.51
  5. Step 5: Solve for x
    x = 195,742,683,325.51/506,441.16
  6. Step 6: Final answer
    x = 386,506.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.