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Finding the Fourth Proportional to 432,068.40, 646,790.40 and 384,829.20

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Solution

The fourth proportional to 432,068.40, 646,790.40 and 384,829.20 is: 576,075.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,068.40 : 646,790.40 = 384,829.20 : x
  2. Step 2: Convert to fraction form
    432,068.40/646,790.40 = 384,829.20/x
  3. Step 3: Cross multiply
    432,068.40x = 646,790.40 × 384,829.20
  4. Step 4: Simplify right side
    432,068.40x = 248,903,832,199.68
  5. Step 5: Solve for x
    x = 248,903,832,199.68/432,068.40
  6. Step 6: Final answer
    x = 576,075.07

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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.