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Finding the Fourth Proportional to 648,464.70, 972,466.65 and 293,648.70

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Solution

The fourth proportional to 648,464.70, 972,466.65 and 293,648.70 is: 440,368.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,464.70 : 972,466.65 = 293,648.70 : x
  2. Step 2: Convert to fraction form
    648,464.70/972,466.65 = 293,648.70/x
  3. Step 3: Cross multiply
    648,464.70x = 972,466.65 × 293,648.70
  4. Step 4: Simplify right side
    648,464.70x = 285,563,567,565.86
  5. Step 5: Solve for x
    x = 285,563,567,565.86/648,464.70
  6. Step 6: Final answer
    x = 440,368.72

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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.