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Finding the Fourth Proportional to 522,164.16, 783,001.92 and 306,088.80

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Solution

The fourth proportional to 522,164.16, 783,001.92 and 306,088.80 is: 458,989.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,164.16 : 783,001.92 = 306,088.80 : x
  2. Step 2: Convert to fraction form
    522,164.16/783,001.92 = 306,088.80/x
  3. Step 3: Cross multiply
    522,164.16x = 783,001.92 × 306,088.80
  4. Step 4: Simplify right side
    522,164.16x = 239,668,118,090.50
  5. Step 5: Solve for x
    x = 239,668,118,090.50/522,164.16
  6. Step 6: Final answer
    x = 458,989.98

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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.