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Finding the Fourth Proportional to 712,355, 983,072.14 and 390,095.68

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Solution

The fourth proportional to 712,355, 983,072.14 and 390,095.68 is: 538,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,355 : 983,072.14 = 390,095.68 : x
  2. Step 2: Convert to fraction form
    712,355/983,072.14 = 390,095.68/x
  3. Step 3: Cross multiply
    712,355x = 983,072.14 × 390,095.68
  4. Step 4: Simplify right side
    712,355x = 383,492,194,942.36
  5. Step 5: Solve for x
    x = 383,492,194,942.36/712,355
  6. Step 6: Final answer
    x = 538,344.22

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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.