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Finding the Fourth Proportional to 714,030.72, 985,392 and 408,157.44

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Solution

The fourth proportional to 714,030.72, 985,392 and 408,157.44 is: 563,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,030.72 : 985,392 = 408,157.44 : x
  2. Step 2: Convert to fraction form
    714,030.72/985,392 = 408,157.44/x
  3. Step 3: Cross multiply
    714,030.72x = 985,392 × 408,157.44
  4. Step 4: Simplify right side
    714,030.72x = 402,195,076,116.48
  5. Step 5: Solve for x
    x = 402,195,076,116.48/714,030.72
  6. Step 6: Final answer
    x = 563,274.19

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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.