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Finding the Fourth Proportional to 877,594, 1,316,391 and 212,746

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Solution

The fourth proportional to 877,594, 1,316,391 and 212,746 is: 319,119

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,594 : 1,316,391 = 212,746 : x
  2. Step 2: Convert to fraction form
    877,594/1,316,391 = 212,746/x
  3. Step 3: Cross multiply
    877,594x = 1,316,391 × 212,746
  4. Step 4: Simplify right side
    877,594x = 280,056,919,686
  5. Step 5: Solve for x
    x = 280,056,919,686/877,594
  6. Step 6: Final answer
    x = 319,119

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.