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Finding the Fourth Proportional to 319,033.60, 478,523.40 and 97,417.60

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Solution

The fourth proportional to 319,033.60, 478,523.40 and 97,417.60 is: 146,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,033.60 : 478,523.40 = 97,417.60 : x
  2. Step 2: Convert to fraction form
    319,033.60/478,523.40 = 97,417.60/x
  3. Step 3: Cross multiply
    319,033.60x = 478,523.40 × 97,417.60
  4. Step 4: Simplify right side
    319,033.60x = 46,616,601,171.84
  5. Step 5: Solve for x
    x = 46,616,601,171.84/319,033.60
  6. Step 6: Final answer
    x = 146,118.16

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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.