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Finding the Fourth Proportional to 390,483.76, 585,563.40 and 190,746.16

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Solution

The fourth proportional to 390,483.76, 585,563.40 and 190,746.16 is: 286,039.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,483.76 : 585,563.40 = 190,746.16 : x
  2. Step 2: Convert to fraction form
    390,483.76/585,563.40 = 190,746.16/x
  3. Step 3: Cross multiply
    390,483.76x = 585,563.40 × 190,746.16
  4. Step 4: Simplify right side
    390,483.76x = 111,693,969,986.54
  5. Step 5: Solve for x
    x = 111,693,969,986.54/390,483.76
  6. Step 6: Final answer
    x = 286,039.99

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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.