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Finding the Fourth Proportional to 877,564, 1,211,038.32 and 475,156

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Solution

The fourth proportional to 877,564, 1,211,038.32 and 475,156 is: 655,715.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,564 : 1,211,038.32 = 475,156 : x
  2. Step 2: Convert to fraction form
    877,564/1,211,038.32 = 475,156/x
  3. Step 3: Cross multiply
    877,564x = 1,211,038.32 × 475,156
  4. Step 4: Simplify right side
    877,564x = 575,432,123,977.92
  5. Step 5: Solve for x
    x = 575,432,123,977.92/877,564
  6. Step 6: Final answer
    x = 655,715.28

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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.