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Finding the Fourth Proportional to 903,769, 1,355,653.50 and 312,793

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Solution

The fourth proportional to 903,769, 1,355,653.50 and 312,793 is: 469,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,769 : 1,355,653.50 = 312,793 : x
  2. Step 2: Convert to fraction form
    903,769/1,355,653.50 = 312,793/x
  3. Step 3: Cross multiply
    903,769x = 1,355,653.50 × 312,793
  4. Step 4: Simplify right side
    903,769x = 424,038,925,225.50
  5. Step 5: Solve for x
    x = 424,038,925,225.50/903,769
  6. Step 6: Final answer
    x = 469,189.50

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1.5x scale

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.