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Finding the Fourth Proportional to 371,421.69, 513,025.68 and 286,413

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Solution

The fourth proportional to 371,421.69, 513,025.68 and 286,413 is: 395,607.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,421.69 : 513,025.68 = 286,413 : x
  2. Step 2: Convert to fraction form
    371,421.69/513,025.68 = 286,413/x
  3. Step 3: Cross multiply
    371,421.69x = 513,025.68 × 286,413
  4. Step 4: Simplify right side
    371,421.69x = 146,937,224,085.84
  5. Step 5: Solve for x
    x = 146,937,224,085.84/371,421.69
  6. Step 6: Final answer
    x = 395,607.55

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1.5x scale

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.