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Finding the Fourth Proportional to 719,980.30, 993,700.20 and 414,032.50

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Solution

The fourth proportional to 719,980.30, 993,700.20 and 414,032.50 is: 571,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,980.30 : 993,700.20 = 414,032.50 : x
  2. Step 2: Convert to fraction form
    719,980.30/993,700.20 = 414,032.50/x
  3. Step 3: Cross multiply
    719,980.30x = 993,700.20 × 414,032.50
  4. Step 4: Simplify right side
    719,980.30x = 411,424,178,056.50
  5. Step 5: Solve for x
    x = 411,424,178,056.50/719,980.30
  6. Step 6: Final answer
    x = 571,438.10

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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.