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Finding the Fourth Proportional to 495,036.40, 742,408.80 and 195,417.40

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Solution

The fourth proportional to 495,036.40, 742,408.80 and 195,417.40 is: 293,068.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,036.40 : 742,408.80 = 195,417.40 : x
  2. Step 2: Convert to fraction form
    495,036.40/742,408.80 = 195,417.40/x
  3. Step 3: Cross multiply
    495,036.40x = 742,408.80 × 195,417.40
  4. Step 4: Simplify right side
    495,036.40x = 145,079,597,433.12
  5. Step 5: Solve for x
    x = 145,079,597,433.12/495,036.40
  6. Step 6: Final answer
    x = 293,068.54

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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.