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Finding the Fourth Proportional to 651,404.72, 977,235.80 and 314,679.60

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Solution

The fourth proportional to 651,404.72, 977,235.80 and 314,679.60 is: 472,081.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,404.72 : 977,235.80 = 314,679.60 : x
  2. Step 2: Convert to fraction form
    651,404.72/977,235.80 = 314,679.60/x
  3. Step 3: Cross multiply
    651,404.72x = 977,235.80 × 314,679.60
  4. Step 4: Simplify right side
    651,404.72x = 307,516,170,649.68
  5. Step 5: Solve for x
    x = 307,516,170,649.68/651,404.72
  6. Step 6: Final answer
    x = 472,081.58

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1.5x scale

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.