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Finding the Fourth Proportional to 315,317.34, 472,962.78 and 146,779.74

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Solution

The fourth proportional to 315,317.34, 472,962.78 and 146,779.74 is: 220,163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,317.34 : 472,962.78 = 146,779.74 : x
  2. Step 2: Convert to fraction form
    315,317.34/472,962.78 = 146,779.74/x
  3. Step 3: Cross multiply
    315,317.34x = 472,962.78 × 146,779.74
  4. Step 4: Simplify right side
    315,317.34x = 69,421,353,878.08
  5. Step 5: Solve for x
    x = 69,421,353,878.08/315,317.34
  6. Step 6: Final answer
    x = 220,163.45

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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.