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Finding the Fourth Proportional to 506,184.81, 698,673.65 and 315,084.75

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Solution

The fourth proportional to 506,184.81, 698,673.65 and 315,084.75 is: 434,903.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,184.81 : 698,673.65 = 315,084.75 : x
  2. Step 2: Convert to fraction form
    506,184.81/698,673.65 = 315,084.75/x
  3. Step 3: Cross multiply
    506,184.81x = 698,673.65 × 315,084.75
  4. Step 4: Simplify right side
    506,184.81x = 220,141,412,341.84
  5. Step 5: Solve for x
    x = 220,141,412,341.84/506,184.81
  6. Step 6: Final answer
    x = 434,903.24

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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.