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Finding the Fourth Proportional to 282,783.02, 424,368.95 and 105,431.90

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Solution

The fourth proportional to 282,783.02, 424,368.95 and 105,431.90 is: 158,220.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,783.02 : 424,368.95 = 105,431.90 : x
  2. Step 2: Convert to fraction form
    282,783.02/424,368.95 = 105,431.90/x
  3. Step 3: Cross multiply
    282,783.02x = 424,368.95 × 105,431.90
  4. Step 4: Simplify right side
    282,783.02x = 44,742,024,699.51
  5. Step 5: Solve for x
    x = 44,742,024,699.51/282,783.02
  6. Step 6: Final answer
    x = 158,220.34

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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.