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Finding the Fourth Proportional to 704,093.12, 971,700 and 402,280.64

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Solution

The fourth proportional to 704,093.12, 971,700 and 402,280.64 is: 555,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,093.12 : 971,700 = 402,280.64 : x
  2. Step 2: Convert to fraction form
    704,093.12/971,700 = 402,280.64/x
  3. Step 3: Cross multiply
    704,093.12x = 971,700 × 402,280.64
  4. Step 4: Simplify right side
    704,093.12x = 390,896,097,888
  5. Step 5: Solve for x
    x = 390,896,097,888/704,093.12
  6. Step 6: Final answer
    x = 555,176.70

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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.