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Finding the Fourth Proportional to 529,343.24, 730,411.44 and 314,477.78

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Solution

The fourth proportional to 529,343.24, 730,411.44 and 314,477.78 is: 433,930.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,343.24 : 730,411.44 = 314,477.78 : x
  2. Step 2: Convert to fraction form
    529,343.24/730,411.44 = 314,477.78/x
  3. Step 3: Cross multiply
    529,343.24x = 730,411.44 × 314,477.78
  4. Step 4: Simplify right side
    529,343.24x = 229,698,168,137.80
  5. Step 5: Solve for x
    x = 229,698,168,137.80/529,343.24
  6. Step 6: Final answer
    x = 433,930.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.