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Finding the Fourth Proportional to 506,434.64, 698,867.88 and 280,075.28

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Solution

The fourth proportional to 506,434.64, 698,867.88 and 280,075.28 is: 386,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,434.64 : 698,867.88 = 280,075.28 : x
  2. Step 2: Convert to fraction form
    506,434.64/698,867.88 = 280,075.28/x
  3. Step 3: Cross multiply
    506,434.64x = 698,867.88 × 280,075.28
  4. Step 4: Simplify right side
    506,434.64x = 195,735,617,174.01
  5. Step 5: Solve for x
    x = 195,735,617,174.01/506,434.64
  6. Step 6: Final answer
    x = 386,497.29

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1.5x scale

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.