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Finding the Fourth Proportional to 434,700, 599,681.88 and 307,445.76

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Solution

The fourth proportional to 434,700, 599,681.88 and 307,445.76 is: 424,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,700 : 599,681.88 = 307,445.76 : x
  2. Step 2: Convert to fraction form
    434,700/599,681.88 = 307,445.76/x
  3. Step 3: Cross multiply
    434,700x = 599,681.88 × 307,445.76
  4. Step 4: Simplify right side
    434,700x = 184,369,651,354.83
  5. Step 5: Solve for x
    x = 184,369,651,354.83/434,700
  6. Step 6: Final answer
    x = 424,130.78

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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.