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Finding the Fourth Proportional to 457,820.40, 687,386.70 and 346,283.40

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Solution

The fourth proportional to 457,820.40, 687,386.70 and 346,283.40 is: 519,921.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,820.40 : 687,386.70 = 346,283.40 : x
  2. Step 2: Convert to fraction form
    457,820.40/687,386.70 = 346,283.40/x
  3. Step 3: Cross multiply
    457,820.40x = 687,386.70 × 346,283.40
  4. Step 4: Simplify right side
    457,820.40x = 238,030,603,590.78
  5. Step 5: Solve for x
    x = 238,030,603,590.78/457,820.40
  6. Step 6: Final answer
    x = 519,921.36

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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.