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Finding the Fourth Proportional to 314,718, 434,315.16 and 180,582

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Solution

The fourth proportional to 314,718, 434,315.16 and 180,582 is: 249,205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,718 : 434,315.16 = 180,582 : x
  2. Step 2: Convert to fraction form
    314,718/434,315.16 = 180,582/x
  3. Step 3: Cross multiply
    314,718x = 434,315.16 × 180,582
  4. Step 4: Simplify right side
    314,718x = 78,429,500,223.12
  5. Step 5: Solve for x
    x = 78,429,500,223.12/314,718
  6. Step 6: Final answer
    x = 249,205.64

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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.