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Finding the Fourth Proportional to 553,639,378.60, 829,343,041.80 and 345,739,659.40

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Solution

The fourth proportional to 553,639,378.60, 829,343,041.80 and 345,739,659.40 is: 517,912,547.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,639,378.60 : 829,343,041.80 = 345,739,659.40 : x
  2. Step 2: Convert to fraction form
    553,639,378.60/829,343,041.80 = 345,739,659.40/x
  3. Step 3: Cross multiply
    553,639,378.60x = 829,343,041.80 × 345,739,659.40
  4. Step 4: Simplify right side
    553,639,378.60x = 286,736,780,797,691,936
  5. Step 5: Solve for x
    x = 286,736,780,797,691,936/553,639,378.60
  6. Step 6: Final answer
    x = 517,912,547.19

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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.