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Finding the Fourth Proportional to 553,904.20, 829,106.70 and 434,931.40

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Solution

The fourth proportional to 553,904.20, 829,106.70 and 434,931.40 is: 651,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,904.20 : 829,106.70 = 434,931.40 : x
  2. Step 2: Convert to fraction form
    553,904.20/829,106.70 = 434,931.40/x
  3. Step 3: Cross multiply
    553,904.20x = 829,106.70 × 434,931.40
  4. Step 4: Simplify right side
    553,904.20x = 360,604,537,780.38
  5. Step 5: Solve for x
    x = 360,604,537,780.38/553,904.20
  6. Step 6: Final answer
    x = 651,023.30

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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.