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Finding the Fourth Proportional to 282,970.63, 390,497.58 and 160,486.32

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Solution

The fourth proportional to 282,970.63, 390,497.58 and 160,486.32 is: 221,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,970.63 : 390,497.58 = 160,486.32 : x
  2. Step 2: Convert to fraction form
    282,970.63/390,497.58 = 160,486.32/x
  3. Step 3: Cross multiply
    282,970.63x = 390,497.58 × 160,486.32
  4. Step 4: Simplify right side
    282,970.63x = 62,669,519,583.11
  5. Step 5: Solve for x
    x = 62,669,519,583.11/282,970.63
  6. Step 6: Final answer
    x = 221,470.05

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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.