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Finding the Fourth Proportional to 345,920.40, 518,880.60 and 286,871.40

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Solution

The fourth proportional to 345,920.40, 518,880.60 and 286,871.40 is: 430,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,920.40 : 518,880.60 = 286,871.40 : x
  2. Step 2: Convert to fraction form
    345,920.40/518,880.60 = 286,871.40/x
  3. Step 3: Cross multiply
    345,920.40x = 518,880.60 × 286,871.40
  4. Step 4: Simplify right side
    345,920.40x = 148,852,004,154.84
  5. Step 5: Solve for x
    x = 148,852,004,154.84/345,920.40
  6. Step 6: Final answer
    x = 430,307.10

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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.