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Finding the Fourth Proportional to 586,435.35, 809,377.56 and 402,522.78

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Solution

The fourth proportional to 586,435.35, 809,377.56 and 402,522.78 is: 555,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,435.35 : 809,377.56 = 402,522.78 : x
  2. Step 2: Convert to fraction form
    586,435.35/809,377.56 = 402,522.78/x
  3. Step 3: Cross multiply
    586,435.35x = 809,377.56 × 402,522.78
  4. Step 4: Simplify right side
    586,435.35x = 325,792,905,520.82
  5. Step 5: Solve for x
    x = 325,792,905,520.82/586,435.35
  6. Step 6: Final answer
    x = 555,547.86

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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.