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Finding the Fourth Proportional to 282,783.42, 390,248.58 and 153,730.58

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Solution

The fourth proportional to 282,783.42, 390,248.58 and 153,730.58 is: 212,152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,783.42 : 390,248.58 = 153,730.58 : x
  2. Step 2: Convert to fraction form
    282,783.42/390,248.58 = 153,730.58/x
  3. Step 3: Cross multiply
    282,783.42x = 390,248.58 × 153,730.58
  4. Step 4: Simplify right side
    282,783.42x = 59,993,140,547.58
  5. Step 5: Solve for x
    x = 59,993,140,547.58/282,783.42
  6. Step 6: Final answer
    x = 212,152.26

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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.