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Finding the Fourth Proportional to 553,710.70, 830,047.65 and 433,701.10

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Solution

The fourth proportional to 553,710.70, 830,047.65 and 433,701.10 is: 650,145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,710.70 : 830,047.65 = 433,701.10 : x
  2. Step 2: Convert to fraction form
    553,710.70/830,047.65 = 433,701.10/x
  3. Step 3: Cross multiply
    553,710.70x = 830,047.65 × 433,701.10
  4. Step 4: Simplify right side
    553,710.70x = 359,992,578,857.42
  5. Step 5: Solve for x
    x = 359,992,578,857.42/553,710.70
  6. Step 6: Final answer
    x = 650,145.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.